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Finding the Fourth Proportional to 3,561,506,496,000.30, 5,342,259,744,000.40 and 3,561,506,496,000.30

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Solution

The fourth proportional to 3,561,506,496,000.30, 5,342,259,744,000.40 and 3,561,506,496,000.30 is: 5,342,259,744,000.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,561,506,496,000.30 : 5,342,259,744,000.40 = 3,561,506,496,000.30 : x
  2. Step 2: Convert to fraction form
    3,561,506,496,000.30/5,342,259,744,000.40 = 3,561,506,496,000.30/x
  3. Step 3: Cross multiply
    3,561,506,496,000.30x = 5,342,259,744,000.40 × 3,561,506,496,000.30
  4. Step 4: Simplify right side
    3,561,506,496,000.30x = 19,026,492,781,578,323,973,111,808
  5. Step 5: Solve for x
    x = 19,026,492,781,578,323,973,111,808/3,561,506,496,000.30
  6. Step 6: Final answer
    x = 5,342,259,744,000.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.